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Finding the Fourth Proportional to 30,013.76, 41,413.92 and 18,074.24

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Solution

The fourth proportional to 30,013.76, 41,413.92 and 18,074.24 is: 24,939.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,013.76 : 41,413.92 = 18,074.24 : x
  2. Step 2: Convert to fraction form
    30,013.76/41,413.92 = 18,074.24/x
  3. Step 3: Cross multiply
    30,013.76x = 41,413.92 × 18,074.24
  4. Step 4: Simplify right side
    30,013.76x = 748,525,129.42
  5. Step 5: Solve for x
    x = 748,525,129.42/30,013.76
  6. Step 6: Final answer
    x = 24,939.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.